Question

A rectangular tank measuring 18m by 6m is 2/3 filled with water.if the water is poured into another rectangular tank which is 12m long and 10m wide, what will be the height of the water level in the second tank?

Answer 1

Step 1

Write an expression for the volume of a cuboid

`\text{Volume of cuboid = L}ength\text{ }* width* height`

Step 2

Find the volume of the first rectangular tank

`\text{Volume of first tank =}18m\text{ }*18m*(2)/(3)*6m=1296m^3\text{ }`

Step 3

Find the volume of the second tank

`\text{Volume of second tank = 12m }*10m* height`

Step 4

Equate both volumes

`\begin{gathered} 1296\text{ = 120}* height \\ \text{height of water in second tank = }(1296)/(120)=10.8m \end{gathered}`

Height of second rectangular tank = 10.8m